Transformations of Functions; Combinations of Functions; Composite Functions; Inverse Functions; Distance and Midpoint Formulas; Circles, Quadratic Functions; Polynomial Functions and Their Graphs; Dividing Polynomials; Remainder and Factor Theorems

Transformations of Functions; Combinations of Functions; Composite Functions;...

(Parte 1 de 2)

Review for Exam 3

Section 2.5. Transformations of Functions

1. Use the graph of to graph the function

2. Use the graph of to graph the function .

3. Use the graph of to graph the .

4. Use the graph of to graph the function .

5. Use the graph of to graph the function

6. Use the graph of to graph the function .

7. Use the graph of to graph the function .

8. Use transformations of the graph of to determine the graph of the given function .

9. Use transformations of to graph the following function

10. Use transformations of the graph of to determine the graph of the given function.

.

11. Use transformations of to graph the following function.

.

12. Use transformations of to graph the following function.

13. Use transformations of to graph the following function.

14. Graph the function using the techniques of ​shifting, compressing,​ stretching, and/or reflecting. Start with the graph of the basic function shown below.

15. Begin by graphing the square root ​function, ​. ​Then, use transformations of this graph to graph the given function.

16. Begin by graphing the square root​ function, ​ .Then, use transformations of this graph to graph the given function.

17. Begin by graphing the square root​ function, ​ ​Then, use transformations of this graph to graph the given function.

18. Use transformations of to graph the following function.

19. Use transformations of to graph the following function.

20. Begin by graphing the absolute value​ function, Then use transformations of this graph to graph the given function.

21. Begin by graphing the absolute value​ function, Then use transformations of this graph to graph the given function.

22. Begin by graphing the absolute value​ function, Then use transformations of this graph to graph the given function.

23. Begin by graphing the absolute value​ function, Then use transformations of this graph to graph the given function.

24. Begin by graphing the absolute value​ function, Then use transformations of this graph to graph the given function.

25. Use transformations of the graph of ​ to determine the graph of the given function.

26. Use transformations of the graph of to determine the graph of the given function.

27. Use transformations of the graph of to determine the graph of the given function.

28. Use transformations of the graph of ​ to determine the graph of

29. Use transformations of the graph of ​ to determine the graph of the given function.

30. Use transformations of the graph of ​ to determine the graph of the given function.

31. Use transformations of to graph the following function.

32. Use transformations of to graph the following function.

Section 2.6. Combinations of Functions; Composite Functions

1. Find the domain of the function.

2. Find the domain of the function.

3. Find the domain of the function.

4. Find the domain of the function.

5. First find . Then determine the domain for each function.

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6. Given and first find Then determine the domain for each function.

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Domain=

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7. First find f plus f + g, f − g, fg and . Then determine the domain for each function.

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Domain=

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8. For the functions and, find f + g, f − g, fg and .

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Domain=

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Domain=

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9. First find f+g​, f −g​, ​fg, and . Then determine the domain for each function.

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Domain=

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Domain=

Domain=

Domain=

10. Given ​ and find f+g​, f −g​, ​fg, and . Then determine the domain for each function.

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Domain=

(f

Domain=

Domain=

Domain=

11. First find f+g​, f −g​, ​fg, and . Then determine the domain for each function.

=

Domain=

(f

Domain=

(Parte 1 de 2)

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